Production Decline Behavior Analysis of a Vertical Well with a Natural Water Influx/Waterflood

<div>Physical model of the water-drive reservoir. <i>r</i> is the radial radius, <i>r</i><sub>w</sub> is the well radius, <i>r</i><sub>e</sub> is the radius distance of the external boundary at the water influx, and <i>q</i><sub>ext</sub>(<i>t</i>) is the water influx at the external boundary.</div>

Mathematical Problems in Engineering

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Figure 1

Figure 1: Production Decline Behavior Analysis of a Vertical Well with a Natural Water Influx/Waterflood 